Question

During a scuba dive, Lainey descended to a point 26 feet below the ocean surface. She continued her descent at a rate of 26 feet per minute. Enter an inequality you could solve to find the number of minutes she can continue to descend if she does not want to reach a point more than 78 feet below the ocean surface. Use t to represent the variable for the minutes Lainey can continue to descend.

Answer 1

t ≤ 2

Explanation:

Given that:

Initial Position = - 26 feets (below surface)

Descent rate = 26 feets per minute

Maximum depth = 78 feets

Let t = number of minutes

Hence,

Initial position + (descent rate * number of minutes) ≤ - 78

-26 + (- 26t) ≤ - 78

-26t ≤ - 78 + 26

-26t ≤ - 52

t ≤ 52/26

t ≤ 2